A next-to-leading order QCD analysis of deeply virtual Compton scattering amplitudes

Abstract

We present a next-to-leading order (NLO) QCD analysis of unpolarized and polarized deeply virtual Compton scattering (DVCS) amplitudes, for two different input scenarios, in the $\overline{MS}$ scheme. We illustrate and discuss the size of the NLO effects and the behavior of the amplitudes in skewedness, $\zeta$, and photon virtuality, $Q^2$. In the unpolarized case, at fixed $Q^2$, we find a remarkable effective power-law behaviour in $\zeta$, akin to Regge factorization, over several orders of magnitude in $\zeta$. We also quantify the ratio of real to imaginary parts of the DVCS amplitudes and their sensitivity to changes of the factorization scale.

12 pages, 12 figures, revtex, final version to be published in Phys. Rev. D. Corrected error in MRSA' distribution and modified extraplation behavior of GRSV00 distribution. Corrected error in +iεtreatment. Taking now correct sheaf of log. Errors in subtraction equations corrected. Figures and results for affected imaginary part of NLO amplitude changed accordingly

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• GPD phenomenology and DVCS fitting - Entering the high-precision era
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• Deeply Virtual Compton Scattering to the twist-four accuracy: Impact of finite-$t$ and target mass corrections
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• From Bethe-Salpeter Wave Functions to Generalised Parton Distributions
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• Test of two new parameterizations of the Generalized Parton Distribution $H$
• HERMES impact for the access of Compton form factors
• A next-to-leading order analysis of deeply virtual Compton scattering
• Towards the theory of coherent hard dijet production on hadrons and nuclei
• Deeply virtual Compton scattering beyond next-to-leading order: the flavor singlet case
• Can the total angular momentum of u-quarks in the nucleon be accessed at HERMES?
• Exclusive photoproduction of hard dijets and magnetic susceptibility of QCD vacuum
• An introductory lecture on Generalised Parton Distributions
• A detailed QCD analysis of twist-3 effects in DVCS observables
• Next-to-next-to leading order corrections to deeply virtual Compton scattering: the non-singlet case
• NLO corrections to the deeply virtual meson production revisited: impact on the extraction of generalized parton distributions
• Polynomiality of helicity off-forward distribution functions in the chiral quark-soliton model
• Nuclear effects and their interplay in nuclear DVCS amplitudes
• QCD evolution and skewedness effects in color dipole description of DVCS
• Effects of next-to-leading order DGLAP evolution on generalized parton distributions of the proton and deeply virtual Compton scattering at high energy
• Two-loop evolution equations for flavor-singlet light-ray operators
• Deeply Virtual Neutrino Scattering (DVNS)
• NLO corrections to the twist-3 amplitude in DVCS on a nucleon in the Wandzura-Wilczek approximation: quark case
• Demystifying generalized parton distributions
• New framework for extracting GPDs from exclusive photon electroproduction